Answered: Out of 200 people sampled, 116…

Out of 200 people sampled, 116 preferred Candidate A. Based on this, estimate what proportion of the voting population prefers Candidate A with 99% confidence.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: a recent poll, 550 people were asked if they liked dogs, and 44% said they did. Find the margin of…

A: We have given that Sample size n= 550 Sample proportion p^= 0.44

Q: ut of 400 people sampled, 152 preferred Candidate A. Based on this, estimate what proportion of the…

A: given data,n=400x= preferred Candidate A =152CI=0.90α=1-0.90 =0.10p^=xn=152400=0.38

Q: recent poll, 470 people were asked if they liked dogs, and 40% said they did. Find the margin of…

A: The critical value at 99% confidence level from standard normal table will be: Following…

Q: Based on this, find a 90% confidence level for the true proportion of the voting population (pp)…

A: The sample size is n = 500 And number of individuals who preferred candidate A, X = 50 At 90%…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: In this question, It has been given that Margin of error = 0.05 and level of significance = 0.005.…

Q: Out of 400 people sampled, 336 preferred Candidate A. Based on this, estimate what proportion of the…

Q: In a recent poll, 450 people were asked if they liked dogs, and 48% said they did. Find the margin…

A: Total number of people = 450 Given that in a recent poll, 450 people were asked if they liked dogs,…

Q: n a recent poll, 120 people were asked if they liked dogs, and 57% said they did. Find the margin of…

A: given data, n=120p^=0.57CI=0.99α=1-0.99=0.01we have to find out the confidence interval for the…

Q: A poll of 1,600 voters in one district showed that 56% of them would favor stricter gun control…

A: In this case, the confidence level is 95%. The 95% confidence interval for the population proportion…

Q: A poll of 1300 voters in one district showed that 715 voters would favor stricter gun control laws.…

A: The question is about confidence interval.Given :No. of voters in a poll ( n ) = 1300No. of voters…

Q: A student polls his school to see if students in the school district are for or against the new…

A: Given Data: x=293 n=359 p^=xn=293359=0.8162 Standard error=p^(1-p^)n=0.8162(1-0.8162)359=0.02044

Q: Out of 400 people sampled, 200 preferred Candidate A. Based on this, estimate what proportion of the…

A: It is given that the, Out of 400 people sampled, 200 preferred Candidate A. Based on this, estimate…

Q: A student polls his school to see if students in the school district are for or against the new…

Q: Out of 200 people sampled, 166 preferred Candidate A. Based on this, estimate what proportion of the…

A: Sample size (n) = 200 Out of which 166 preferred candidate A that is (x) = 166 The sample proportion…

Q: Out of 300 people sampled, 57 preferred Candidate A. Based on this, estimate what proportion of the…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given e=Margin of error=8%, level of significance ɑ=0.10

Q: In a survey of 2405 adults in a recent year, 1217 say they have made a New Year's resolution.…

A: Given: n=2405 x=1217

Q: In a recent poll, 560 people were asked if they liked dogs, and 22% said they did. Find the margin…

A: For 95% confidence intervalα=1-CI=1-0.95=0.05So, zα2=z0.052=z0.025=1.96

Q: Out of 400 people sampled, 300 preferred Candidate A. Based on this, estimate what proportion of the…

A: Given that Out of 400 people sampled, 300 preferred Candidate A. Here x=300 n=400

Q: Out of 600 people sampled, 546 preferred Candidate A. Based on this, estimate what proportion of the…

A: X = 546 N = 600 95% confidence level

Q: In a survey of 323 adults over 50, 60% said they were taking vitamin supplements. Find the margin of…

Q: In a recent poll, 150 people were asked if they liked dogs, and 55% said they did. Find the margin…

Q: In a recent poll, 490 people were asked if they liked dogs, and 5% said they did. Find the margin of…

A: given data n = 490p^ = 0.0590% ci, E = ?

Q: standard error.

A: a. The given information in Non-college Grades Y=2890 Average salariessY=520 standard…

Q: n a recent poll, 330 people were asked if they liked dogs, and 30% said they did. Find the margin of…

A: given data, n=330p=0.30CI=0.99α=1-0.99=0.01ME=?

Q: Out of 600 people sampled, 504 preferred Candidate A. Based on this, find a 99% confidence level…

A: Solution

Q: n a recent poll, 230 people were asked if they liked dogs, and 70% said they did. Find the margin of…

A: It is given that the n = 230 and p hat is 0.70.

Q: Out of 600 people sampled, 132 preferred Candidate A. Based on this, estimate what proportion of the…

Q: Out of 100 people sampled, 83 preferred Candidate A. Based on this, estimate what proportion of the…

A: Find z-critical value:…

Q: ut of 600 people sampled, 300 preferred Candidate A. Based on this, estimate what proportion of the…

A: Given data, Out of 600 people sampled, 300 preferred Candidate A Construct 90% confidence level?

Q: In a recent poll, 430 people were asked if they liked dogs, and 54% said they did. Find the margin…

A: In a recent poll, 430 people were asked if they liked dogs, and 54% said they did. Find the margin…

Q: It costs $6.75 to play a very simple game, in which a dealer gives you one card from a deck of 52…

A: The cost of the game is $6.75.

Q: A poll of 1.200 voters asked what the most significant issue was in the upcoming electionSixty-five…

A: Sample size is n= 1200 Proportion, p=65% = 0.65 We know that, q=1-p =1-0.65 = 0.35 Confidence…

Q: Out of 200 people sampled, 176 preferred Candidate A. Based on this, estimate what proportion of the…

A: Numer of people sampled (n) = 200 Number of people who preferred candidate A (x) = 176 Find…

Q: Out of 500 people sampled, 220 preferred Candidate A. Based on this, estimate what proportion of the…

A: The sample size The probability of success Confidence level To compute the confidence interval for…

Q: Out of 300 people sampled, 261 preferred Candidate A. Based on this, estimate what proportion of the…

Q: political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each…

A: Given that. n=310 , Candidate A=110 , Candidate B=185 Unsure or plan to vote for another…

Q: Five people (Alex, Byron, Chloe, Dexter, and Emily) form a club, N = {A, B, C, D, E). Chloe and…

A: Five people (Alex, Byron, Chloe, Dexter and Emily) form a club N = { A,B,C,D,E }

Q: Out of 500 people sampled, 440 preferred Candidate A. Based on this, estimate what proportion of the…

A: Suppose, p is the true proportion of the entire voting population, who prefers Candidate A.

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given:Margin of error (E) = 0.09Confidence level = 90%Since, the proportion of people that support…

Q: Out of 400 people sampled, 260 preferred Candidate A. Based on this estimate, what proportion (as a…

A: Given info: Out of 400 people sampled, 260 preferred Candidate A. Based on this estimate, the…

Q: Out of 100 people sampled, 13 preferred Candidate A. Based on this, estimate what proportion of the…

A: It is given that sample size (n) is 100 and x is 13.

Q: population (p) prefers Candidate A. Use a 99% confidence level, and give your answers as…

A: The sample size is The number of success (preferring candidate A) is .The level of confidence is

Q: Out of 300 people sampled, 60 preferred Candidate A. Based on this, estimate what proportion of the…

A: From the provided information, Sample size (n) = 300 From which 60 preferred Candidate A. Sample…

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: Given; x=561n=935The level of significance is;α=1-0.95=0.05 (a) The best point estimate of the…

Q: He surveys 500 students and finds that 300 are registered voters. Compute a 90% confi

A: Here it is given that - Total number of sample (n) = 500 Number of registered voters = 300 So,…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Out of 200 people sampled, 116 preferred Candidate A. Based on this, estimate what proportion of the voting population prefers Candidate A with 99% confidence.

Out of 500 people sampled, 455 had kids.
The best point estimate for pp is .
The margin of error for a 99% confidence interval is

Expert Solution

Step 1

We need to construct the 99% confidence interval for the population proportion.

Number of favorable cases $x = 116$

Sample size $n = 200$

The sample proportion is calculated as,

$\hat{p} = \frac{x}{n} = \frac{116}{200} = 0.58$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

In a recent poll, 480 people were asked if they liked dogs, and 43% said they did. Find the margin of error of this poll, at the 95% confidence level. Give your answer in three decimals.
In a recent poll, 110 people were asked if they liked dogs, and 40% said they did. Find the margin of error of this poll, at the 99% confidence level.
In a recent poll, 360 people were asked if they liked dogs, and 23% said they did. Find the margin of error of this poll, at the 99% confidence level.
A poll reported 59% support for a statewide election with a margin of error of 4.37 percentage points. How many voters should be sampled for a 99% confidence interval? Round up to the nearest whole number.
In a poll of 650 likely voters, 338 indicated that they planned to vote for a particular candidate. Find the sample proportion. (Write answer as a decimal) Approximate the margin of error for a 95% confidence level. (Write answer as a decimal) ± Find the 95% confidence interval. (Write answers as a percentage) ( % , % )
Through polling, it was estimated that the percent of people who will vote for a particular candidate in an upcoming election is 36.2%. If the margin of error is 3.5, give the confidence interval for the percentage of people who will vote for the candidate in the upcoming election.% to %
In a survey of 2048 adults in a recent year, 1217 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 3% margin of error at a 98% confidence level, what size of sample is needed? The political candidate will need to sample people.
In a recent poll, 580 people were asked if they liked dogs, and 85% said they did. Find the margin of error of this poll, at the 95% confidence level.
A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.
Out of 500 people sampled, 220 preferred Candidate A. Based on this, find a 90% confidence level for the true proportion of the voting population (pp) prefers Candidate A. Give your answers as decimals, to three places.
In a recent poll 240 people were asked if they like dogs and 75% said they did. find the margin of error of this pole at the 99% confidence level.